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Show that the function f (x)={ {:(3x^...

Show that the function
`f (x)={ {:(3x^(2) + 12 x - 1,- 1 le x le 2 ),(" "37 - x," "2 lt x le 3 ):}` is continuous at x = 2

A

f(x) is increasing on [-1, 2]

B

f(x) is continuous on [-1, 3]

C

f'(2) doesn't exist

D

f(x) has the maximum value at x = 2

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The correct Answer is:
A, B, D
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ARIHANT MATHS ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise (More Than One Correct Option Type Questions)
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  12. about to only mathematics

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  17. Let f(x) = int(-2)^(x)|t + 1|dt, then

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  18. A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y),...

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  20. If f(x) = 0 for x lt 0 and f(x) is differentiable at x = 0, then for x...

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